Yes, of course. But if they are wearing veils out of deference to religious prohibitions against women participating in the public sphere, then ISTM they should not be attempting to participate in the public sphere.
This is the “burqa = pardah” argument that I’ve made before in threads like this one. Namely, the requirement in some Islamic cultures for women to cover their faces in public is part of the general principle of pardah or “purdah”, the idea that women should stay “behind the curtain” of private and family life.
Cultures that practice pardah are maintaining the principle that women do not belong in the public sphere, and in particular should not interact with male strangers in any way.
Total veiling of women (wearing combinations of garments variously known as burqa, niqab, chador, abaya, etc.) outside the home is intended as a practical compromise with the pardah principle. It recognizes that the necessities of life compel women to leave the house sometimes to go shopping, go to the doctor, etc., and allows them to symbolically take the privacy of the house with them. The veil for pardah-nishin women isn’t just a modest garment, it’s a symbolic cloak of invisibility signifying that they’re not really “in public” even though they have to be outside their private home environment temporarily.
And I’m totally fine with that practice and think that Western societies that pride themselves on freedom and religious tolerance should accommodate it. Pardah-nishin women should indeed be allowed to wear veils while riding buses, shopping at the supermarket, using gas station restrooms, whatever they have to do while being outside their home environment. Very few people find it practically feasible to stay in their own houses all the time, even if they believe in principle that they ought to do so, and I’m happy to follow the convention of letting veiled women go about their most necessary errands while visually pretending that they’re not really there.
HOWEVER. I think that open democratic societies have a right to make their own rules about expectations for people participating in their public spheres. It is not unreasonable to expect that a person who is, say, applying for a job requiring them to deal with strangers, or enrolling in a class with other students, is tacitly consenting to participating in that society’s public sphere.
And if that person insists on wearing a veil or following some other practice that is fundamentally based on the principle that they DON’T participate in the public sphere, then I think that’s somewhat disrespectful to the society they’re living in. If you want to be pardah-nishin, then be pardah-nishin, but if you’re going to voluntarily participate in society’s public sphere, then you can’t be pardah-nishin.